Infinite Geometric Series

Question 1

What is r?

Revolt · Accepted Answer

0.01

Question 2

Find the sum of the infinite geometric series:

Revolt · Accepted Answer

mc002-3.jpg

Question 3

Answer the following questions using the series representation.0.9 + 0.09 + 0.009 + …The first term is ,

Revolt · Accepted Answer

Part 1: 0.9; Part 2: 0.1; 0.9

Question 4

and the common ratio is .

Revolt · Accepted Answer

0.1

Question 5

If the pattern continues indefinitely, does the sum of the areas converge?

Revolt · Accepted Answer

yes

Question 6

Which expression accurately represents the infinite sum?

Revolt · Accepted Answer

0.23/(1 – 0.01)

Question 7

What is the simplest form of the fraction that represents this repeating decimal?

Revolt · Accepted Answer

23/99

Question 8

The repeating decimal 0.99999… converges to .

Revolt · Accepted Answer

1

Infinite Geometric Series Answers